3 citations · 4 across the 6 of their papers we have counts for
7 papers
Cartan subgroups in connected locally compact groups
Arunava Mandal, Riddhi Shah
We define Cartan subgroups in connected locally compact groups, which extends the classical notion of Cartan subgroups in Lie groups. We prove their existence and justify our choic…
On universal subspaces for Lie groups
Saurav Bhaumik, Arunava Mandal
Let be a finite dimentional vector space over or , and let be a representation of a connected Lie group . A linear subspace $V\subset U…
Group actions and power maps for groups over non-Archimedean local fields
Arunava Mandal, C. R. E. Raja
We consider linear groups and Lie groups over a non-Archimedean local field for which the power map has a dense image or it is surjective. We prove that…
The Structure of Cartan Subgroups in Lie Groups
Arunava Mandal, Riddhi Shah
We study properties and the structure of Cartan subgroups in a connected Lie group. We obtain a characterisation of Cartan subgroups which generalises Wüstner's structure theorem f…
Dense images of the power maps for a disconnected real algebraic group
Arunava Mandal
Let be a complex algebraic group defined over , which is not necessarily Zariski connected. In this article, we study the density of the images of the power maps $g\…
On the density of images of the power maps in Lie groups
Saurav Bhaumik, Arunava Mandal
Let be a connected Lie group. In this paper, we study the density of the images of individual power maps . We give criteria for the density of …
On the surjectivity of the power maps of a class of solvable groups
S. G. Dani, Arunava Mandal
Let be a group containing a nilpotent normal subgroup with central series , such that each is a -vector space over a field a…